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284745248 = 251921572
BaseRepresentation
bin10000111110001…
…101111000100000
3201211210120001022
4100332031320200
51040343321443
644131025012
710025203034
oct2076157040
9654716038
10284745248
11136805357
127b43b168
1346cb9518
1429b621c4
1519ee8e68
hex10f8de20

284745248 has 54 divisors (see below), whose sum is σ = 595442421. Its totient is φ = 134020224.

The previous prime is 284745217. The next prime is 284745281. The reversal of 284745248 is 842547482.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

284745248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 271986064 + 12759184 = 16492^2 + 3572^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11932.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 284745199 and 284745208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1813586 + ... + 1813742.

Almost surely, 2284745248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284745248

284745248 is an abundant number, since it is smaller than the sum of its proper divisors (310697173).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

284745248 is an equidigital number, since it uses as much as digits as its factorization.

284745248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 178 counting only the distinct ones).

The product of its digits is 573440, while the sum is 44.

The square root of 284745248 is about 16874.3962262358. The cubic root of 284745248 is about 657.8882981581. Note that the first 3 decimals are identical.

The spelling of 284745248 in words is "two hundred eighty-four million, seven hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 157 304 314 361 608 628 722 1256 1444 2512 2888 2983 5024 5776 5966 11552 11932 23864 24649 47728 49298 56677 95456 98596 113354 197192 226708 394384 453416 468331 788768 906832 936662 1813664 1873324 3746648 7493296 8898289 14986592 17796578 35593156 71186312 142372624 284745248